Selected papers of Masatake Kuranishi
 Uniform Title
 Papers. Selections
 Author/Creator
 Kuranishi, Masatake, 1924
 Language
 English.
 Publication
 Hackensack, New Jersey : World Scientific, [2013]
 Copyright notice
 ©2013
 Physical description
 xx, 633 pages ; 26 cm
Access
Available online

Stacks

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QA445 .K78 2013

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QA445 .K78 2013
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Contributors
 Contributor
 Hironaka, Heisuke, editor of compilation.
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 On Euclidean Local Groups Satisfying Certain Conditions On Conditions of Differentiability of Locally Compact Groups On E Cartan's Prolongation Theorem of Exterior Differential Systems On the Local Theory of Continuous Infinite Pseudo Groups I On the Local Theory of Continuous Infinite Pseudo Groups II On the Locally Complete Families of Complex Analytic Structures New Proof for the Existence of Locally Complete Families of Complex Structures Strongly Pseudoconvex CR Structures over Small Balls: Part I, An a Priori Estimate Strongly Pseudoconvex CR Structures over Small Balls: Part II, A Regularity Theorem Strongly Pseudoconvex CR Structures over Small Balls: Part III, An Embedding Theorem Cartan Connections and CR Structures with Nondegenerate LeviForm The Frame Bundles of CR Structures and the Bergman Kernel (I) The Frame Bundles of CR Structures and the Bergman Kernel (II) CR Geometry and Cartan Geometry CR Structures and F E Erman's Conformal Structures On a Priori Estimate on a Manifold with Singularity on the Boundary An Approach to the Cartan Geometry I: Conformal Riemann Manifolds The Formula for the Singularity of Szego Kernel: I An Approach to the Cartan Geometry II: CR Manifolds The Formula for the Singularity of Szego Kernel: II and other papers.
 (source: Nielsen Book Data)
 Publisher's Summary
 This book is a selection of Masatake Kuranishi's papers. Born in 1924, Kuranishi produced deep and farreaching results in geometry over his career. Of his voluminous contributions, this book focuses on his later works: (i) his work on locally complete families of deformation of compact complex manifolds. Kuranishi was first to prove the fundamental results of the existence of complete families whose parameter spaces are today called Kuranishi spaces. His result is highly influential in deformation theory of various geometric objects. (ii) His work on the local embedding problem of Cauchy  Riemann structures. Kuranishi proved a fundamental embedding theorem in Cauchy  Riemann geometry. (iii) His work on Cartan Geometry and Szego kernels. Mainly for his works on (i) and (ii), Kuranishi was awarded the Bergman Prize in 2000. Today, he is a professor emeritus of Columbia University.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2013
 Copyright date
 2013
 Responsibility
 editorinchief, Heisuke Hironaka (Japan Association for Mathematical Sciences, Japan) ; editors, Takao Akahori (University of Hyogo Prefecture, Japan), Gen Komatsu (Osaka University, Japan), Kimio Miyajima (Kagoshima University, Japan), Makoto Namba (Otemon Gakuin University, Japan), Duong H Phong (Columbia University, Japan), Keizo Yamaguchi (Hokkaido University, Japan).
 ISBN
 9789814508131
 9814508136